Direct Variation Worksheet
A Grade 10 math worksheet covering direct variation, including identifying direct variation, writing equations, and solving problems.
Includes
Standards
Topics
Direct Variation
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following equations represents direct variation?
y = 3x - 2
y = x/4
y = 5/x
y = x^2
2. In a direct variation, as one variable increases, the other variable .
3. The constant of variation is represented by the letter in the equation y = kx.
4. If y varies directly as x, and y = 15 when x = 3, find the constant of variation (k).
5. Write an equation that represents the direct variation described in question 4.
6. The graph of a direct variation always passes through the origin (0,0).
True
False
7. Graph the direct variation equation y = 2x on the coordinate plane below.
8. The amount of money earned (M) varies directly with the number of hours worked (H). If you earn $75 for 5 hours of work, how much will you earn for 12 hours of work?
Related Worksheets
Radical Operations Worksheet
Grade 10 Math worksheet covering operations with radical expressions including simplification, addition, subtraction, multiplication, and division.
Solving Square Root Equations
This worksheet focuses on solving square root equations, including identifying extraneous solutions, for Grade 10 Algebra students.
Perfect Square Trinomials Worksheet
This worksheet focuses on identifying, factoring, and creating perfect square trinomials for Grade 10 Algebra students.
Mathematical Proofs: Introduction and Basic Techniques
This worksheet introduces fundamental concepts and techniques in mathematical proofs, suitable for Grade 10 students.
Three-Step Equations Worksheet
Solve three-step algebraic equations involving various operations for Grade 10 students.
Rearranging Equations Worksheet
A Grade 10 Math worksheet focused on rearranging algebraic equations to solve for specific variables.
Zero Product Property Worksheet
Practice applying the Zero Product Property to solve quadratic equations and other polynomial equations.
Parts of an Expression Review
This worksheet helps Grade 10 students identify and understand the different parts of algebraic expressions, including terms, coefficients, variables, and constants.